Abstract
The key to granular computing is to make use of granules in problem solving. However, there are different granules at different levels of scale in data sets having hierarchical scale structures. Therefore, the concept of multi-scale decision systems is introduced in this paper, and a formal approach to knowledge acquisition measured at different levels of granulations is also proposed, and some algorithms for knowledge acquisition in consistent and inconsistent multi-scale decision systems are proposed with illustrative examples.
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Bargiela A, Pedrycz W (2002) Granular computing: an introduction. Kluwer Academic Publishers, Boston
Bargiela A, Pedrycz W (2008) Toward a theory of granular computing for human-centered information processing. IEEE Trans Fuzzy Syst 16:320–330
Gu SM, Wu WZ, Chen HT (2007) A classification approach of granules based on variable precision rough sets. In: 6th IEEE International Conference on cognitive informatics, pp.163–168
Gu SM, Zhu SX, Ye QH (2008) An approach for constructing hierarchy of granules based on fuzzy concept lattices. In: 5th International Conference on fuzzy systems and knowledge discovery, pp.679–684
Hu QH, Liu JF, Yu DR (2008) Mixed feature selection based on granulation and approximation. Knowl Based Syst 21:294–304
Hu QH, Pan W, An S, Ma PJ, Wei JM (2010) An efficient gene selection technique for cancer recognition based on neighborhood mutual information. Int J Mach Learn Cybern 1:63–74
Huang GB, Wang DH, Lan Y (2011) Extreme learning machines: a survey. Int J Mach Learn Cybern 2:107–122
Inuiguchi M, Hirano S, Tsumoto S (2002) Rough set theory and granular computing. Springer, Heidelberg
Komorowski J, Pawlak Z, Skowron A (1999) Rough sets: tutorial. In: Pal SK, Skowron A (eds) Rough fuzzy hybridization, a new trend in decision making, pp.3–98
Leung Y, Li DY (2003) Maximal consistent block technique for rule acquisition in incomplete information systems. Inf Sci 153:85–106
Leung Y, Zhang JS, Xu ZB (2000) Clustering by scale-space filtering. IEEE Trans Pattern Anal Mach Intell 22:1396–1410
Li DY, Zhang B, Leung Y (2004) On knowledge reduction in inconsistent decision information systems. Int J Uncertain Fuzziness Knowl Based Syst 12:651–672
Li J, Han G, Wen J, Gao XB (2011) Robust tensor subspace learning for anomaly detection. Int J Mach Learn Cybern 2:89–98
Lin TY, Yao YY, Zadeh LA (2002) Data mining, rough sets and granular computing. Physica-Verlag, Heidelberg
Ma JM, Zhang WX, Wu WZ, et al. (2007) Granular computing based on a generalized approximation space. In: Yao JT et al. (eds) RSKT 2007, LNAI 4481, pp 93–100
Pawlak Z (1991) Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers, Boston
Pawlak Z (1998) Granularity of knowledge, indiscernibility and rough sets. In: 1998 IEEE International Conference on fuzzy systems, pp. 106–110
Polkowski L, Skowron A (1996) Rough mereology: a new paradigm for approximate reasoning. Int J Approx Reason 15:333–365
Qian YH, Liang JY, Dang CY (2009) Knowledge structure, knowledge granulation and knowledge distance in a knowledge base. Int J Approx Reason 50:174–188
Qian YH, Liang JY, Wei W (2010) Pessimistic rough decision, vol 50. In: Second International Workshop on rough sets theory, pp 440–449
Qian YH, Liang JY, Yao YY et al (2010) MGRS: A multi-granulation rough set. Inf Sci 180:949–970
Su J, Gao J (2003) Rough decision support method. Chin J Comput 26(6):737–745
Su J, Gao J (2001) A meta-information-based method for incremental rough set rule generation. Pattern Recogn Artif Intell 14(4):428–433
Vagin V, Fomina M (2011) Problem of knowledge discovery in noisy databases. Int J Mach Learn Cybern 2:135–145
Wu WZ (2009) Rough set approximations based on granular labels. In: Sakai H et al. (Eds.) RSFDGrC 2009, LNAI 5908, pp 93–100
Wu WZ (2007) Attribute granules in formal contexts. In: An A et al. (Eds.) RSFDGrC 2007, LNAI 4482, pp 395–402
Wu WZ, Leung Y (2011) Theory and applications of granular labelled partitions in multi-scale decision tables. Inf Sci 181:3878–3897
Yao JT (2008) Recent developments in granular computing: a bibliometrics study. In: Proceedings of IEEE International Conference on granular computing, pp 74–79
Yao YY (1999) Stratified rough sets and granular computing. In: Dave RN, Sudkamp T (eds) 18th International Conference of the North American Fuzzy Information Processing Society, pp 800–804
Yao YY (2001) Information granulation and rough set approximation. Int J Intell Syst 16:87–104
Yao YY (2004) A partition model of granular computing. In: Transactions on Rough Sets I. LNCS 3100, pp 232–253
Yao YY, Liau CJ, Zhong N (2003) Granular computing based on rough sets, quotient space theory, and belief functions. In: Zhong N et al. (Eds.) Foundations of intelligent systems, LNAI 2871, pp 152–159
Yi WG, Lu MY, Liu Z (2011) Multi-valued attribute and multilabeled data decision tree algorithm. Int J Mach Learn Cybern 2:67–74
Zadeh LA (1979) Fuzzy sets and information granularity. In: Gupta N, Ragade R, Yager RR (eds) Advances in fuzzy set theory and applications, pp 3–18
Zadeh LA (1997) Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst 90:111–127
Zhang WX, Leung Y, Wu WZ (2003) Information systems and knowledge discovery (in Chinese). Science Press, Beijing
Zhang WX, Mi JS, Wu WZ (2003) Approaches to knowledge reductions in inconsistent systems.. Int J Intell Syst 18:989–1000
Zhao Y, Yao YY, Luo F (2007) Data analysis based on discernibility and indiscernibility. Inf Sci 177:4959–4976
Acknowledgments
This work was supported by grants from the National Natural Science Foundation of China (Nos. 61075120, 11071284, and 61173181), the Zhejiang Provincial Natural Science Foundation of China (No. LZ12F03002), and the Scientific Research Project of Science and Technology Department of Zhejiang in China (No. 2008C13068).
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Gu, SM., Wu, WZ. On knowledge acquisition in multi-scale decision systems. Int. J. Mach. Learn. & Cyber. 4, 477–486 (2013). https://doi.org/10.1007/s13042-012-0115-7
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DOI: https://doi.org/10.1007/s13042-012-0115-7